awdiagsim.h File Reference

A simplicial version of the Alexander-Whitney diagonal. More...

#include <istream>
#include <ostream>
#include "chomp/system/config.h"
#include "chaincon/simplex.h"
#include "chaincon/combtensor.h"
#include "chaincon/tensor.h"

Go to the source code of this file.

Functions
template<class VertexT , class EmptyT >
void	AWdiagonal (const tSimplex< VertexT, EmptyT > &s, tCombTensor< tSimplex< VertexT, EmptyT >, tSimplex< VertexT, EmptyT > > &t)
	Computes the Alexander-Whitney diagonal of a simplex. More...
int	AW_kappa (int n, int dim)
	Computes the sign in the A-W formula for a simplex (see the paper for details). More...
template<class VertexT , class EmptyT , class CoefT >
void	AWdiagonal (const tSimplex< VertexT, EmptyT > &s, tTensor< tSimplex< VertexT, EmptyT >, tSimplex< VertexT, EmptyT >, CoefT > &t)
	Computes the Alexander-Whitney diagonal of a simplex. More...

Detailed Description

A simplicial version of the Alexander-Whitney diagonal.

Definition in file awdiagsim.h.

Function Documentation

AW_kappa()

int AW_kappa ( int  n, int  dim  )

inline

Computes the sign in the A-W formula for a simplex (see the paper for details).

Definition at line 74 of file awdiagsim.h.

Referenced by AWdiagonal().

AWdiagonal() [1/2]

template<class VertexT , class EmptyT >

void AWdiagonal ( const tSimplex< VertexT, EmptyT > &  s, tCombTensor< tSimplex< VertexT, EmptyT >, tSimplex< VertexT, EmptyT > > &  t  )

inline

Computes the Alexander-Whitney diagonal of a simplex.

Definition at line 51 of file awdiagsim.h.

AWdiagonal() [2/2]

template<class VertexT , class EmptyT , class CoefT >

void AWdiagonal ( const tSimplex< VertexT, EmptyT > &  s, tTensor< tSimplex< VertexT, EmptyT >, tSimplex< VertexT, EmptyT >, CoefT > &  t  )

inline

Computes the Alexander-Whitney diagonal of a simplex.

Definition at line 94 of file awdiagsim.h.

References AW_kappa().